Class 12 Exam > Class 12 Questions > At resonance the current in an LCR circuita)i...
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At resonance the current in an LCR circuit
- a)is maximum
- b)is local minimum
- c)is zero
- d)is minimum
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
At resonance the current in an LCR circuita)is maximumb)is local minim...
Since the current flowing through a series resonance circuit is the product of voltage divided by impedance, at resonance the impedance, Z is at its minimum value, ( =R ). Therefore, the circuit current at this frequency will be at its maximum value of V/R
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At resonance the current in an LCR circuita)is maximumb)is local minim...
Understanding Resonance in LCR Circuits
At resonance, the behavior of an LCR (Inductor-Capacitor-Resistor) circuit is crucial for understanding its performance. Here's a detailed explanation:
What is Resonance?
- Resonance occurs in an LCR circuit when the inductive reactance (XL) equals the capacitive reactance (XC).
- This condition leads to a significant increase in current through the circuit.
Why is the Current Maximum?
- At resonance, the impedance (Z) of the circuit is at its minimum value.
- The formula for impedance in an LCR circuit is: Z = R + j(XL - XC). When XL = XC, the imaginary part becomes zero, simplifying Z to R.
- With lower impedance, Ohm's law (I = V/Z) indicates that for a given voltage (V), the current (I) will be maximized.
Energy Exchange
- At resonance, energy oscillates between the inductor and capacitor efficiently.
- The inductor stores energy in its magnetic field, while the capacitor stores energy in its electric field.
- This continuous exchange without significant losses leads to higher current flow.
Practical Implications
- Maximum current at resonance is vital in applications like radio transmitters and receivers, where specific frequencies must be selected for optimal performance.
- It allows for selective amplification of signals at desired frequencies.
In summary, at resonance in an LCR circuit, the current is maximum due to the minimized impedance, leading to efficient energy transfer between the inductor and capacitor.
At resonance, the behavior of an LCR (Inductor-Capacitor-Resistor) circuit is crucial for understanding its performance. Here's a detailed explanation:
What is Resonance?
- Resonance occurs in an LCR circuit when the inductive reactance (XL) equals the capacitive reactance (XC).
- This condition leads to a significant increase in current through the circuit.
Why is the Current Maximum?
- At resonance, the impedance (Z) of the circuit is at its minimum value.
- The formula for impedance in an LCR circuit is: Z = R + j(XL - XC). When XL = XC, the imaginary part becomes zero, simplifying Z to R.
- With lower impedance, Ohm's law (I = V/Z) indicates that for a given voltage (V), the current (I) will be maximized.
Energy Exchange
- At resonance, energy oscillates between the inductor and capacitor efficiently.
- The inductor stores energy in its magnetic field, while the capacitor stores energy in its electric field.
- This continuous exchange without significant losses leads to higher current flow.
Practical Implications
- Maximum current at resonance is vital in applications like radio transmitters and receivers, where specific frequencies must be selected for optimal performance.
- It allows for selective amplification of signals at desired frequencies.
In summary, at resonance in an LCR circuit, the current is maximum due to the minimized impedance, leading to efficient energy transfer between the inductor and capacitor.
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At resonance the current in an LCR circuita)is maximumb)is local minimumc)is zerod)is minimumCorrect answer is option 'A'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about At resonance the current in an LCR circuita)is maximumb)is local minimumc)is zerod)is minimumCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At resonance the current in an LCR circuita)is maximumb)is local minimumc)is zerod)is minimumCorrect answer is option 'A'. Can you explain this answer?.
At resonance the current in an LCR circuita)is maximumb)is local minimumc)is zerod)is minimumCorrect answer is option 'A'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about At resonance the current in an LCR circuita)is maximumb)is local minimumc)is zerod)is minimumCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At resonance the current in an LCR circuita)is maximumb)is local minimumc)is zerod)is minimumCorrect answer is option 'A'. Can you explain this answer?.
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